If you want to eliminate x than multiply equation 1 by 4 and equation 2 by 3 and subtract them or,
If you want to eliminate y than mutiply equation 1 by 8 and equation 2 by 11 and subtract them.
<h3>
Answer: D) -3</h3>
Explanation:
Recall that y = f(x) since both are outputs of a function.
If k = 2, then f(x) = 2 leads to y = 2 being a horizontal line drawn through 2 on the y axis. This horizontal line only crosses the cubic curve at one spot. The same can be said if k = 0 and k = -2. So we can rule out choices A,B,C.
On the other hand, if k = -3, then f(x) = -3 has three different solutions. This is because the horizontal line through -3 on the y axis crosses the cubic at 3 different intersection points.
Answer:
1 mile is mapped to 0.3428 inches i.e. unit rate is 0.3428 inches/mile.
Step-by-step explanation:
Given that the scale of the map is
inches =
miles ....... (1)
Now, we have to convert this map scale to a unit rate.
And the unit rate is the number of inches per mile.
As the scale is constant, therefore from the the relation (1) we get
1 mile =
inches.
Therefore, 1 mile is mapped to 0.3428 inches i.e. unit rate is 0.3428 inches/mile. (Answer)
22.5/(x-6) + 22.5/(x+6) = 9
multiply by x-6
=> (x-6)22.5/(x-6) + (x-6)22.5/(x+6) = 9(x-6)
=> 22.5 + (x-6)22.5/(x+6) = 9(x-6)
multiply by x+6
=> (x+6)22.5 + (x+6)(x-6)22.5/(x+6) = 9(x-6)(x+6)
=> (x+6)22.5 + (x-6)22.5 = 9(x-6)(x+6)
distribute
=> 22.5x+6(22.5) + 22.5x - 6(22.5) = 9(x^2 - 36)
=> 45x = 9x^2 - 9(36)
=> 0 = 9x^2 - 45x - 9(36)
divide by 9
=> 0 = x^2 - 5x - 36
=> 0 = x^2 - 5x - 36
=> 0 = (x - 9)(x + 4)
x=9 and -4